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Picometer-Precision Atomic Position Tracking through Electron Microscopy

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Published on: July 3, 2021

Domain wall dynamics in integrable and chaotic spin-1/2 chains.

Lea F Santos¹, Aditi Mitra

¹Department of Physics, Yeshiva University, New York, New York 10016, USA. lsantos2@yu.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|August 27, 2011

Summary

We investigated spin-1/2 chains dynamics, finding that delocalization enhances spin current and magnetization in integrable systems. This correlation breaks down in chaotic models with weak Ising interactions.

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Area of Science:

Condensed matter physics
Quantum magnetism
Many-body systems

Background:

Understanding the dynamics of quantum many-body systems is crucial.
Spin chains provide a fundamental model for studying quantum phenomena.
Domain wall states offer a unique initial condition for observing time evolution.

Purpose of the Study:

To examine the time evolution of correlation functions, spin current, and local magnetization.
To investigate the relationship between spatial delocalization and system dynamics.
To compare dynamics in both integrable and nonintegrable spin-1/2 chains.

Main Methods:

Simulating an isolated spin-1/2 chain in a domain wall state.
Utilizing the inverse participation ratio to quantify eigenstate delocalization.
Introducing nonintegrability via impurity fields or next-nearest-neighbor couplings.

Main Results:

A monotonic correspondence was found between delocalization, spin current, and magnetization dynamics in the integrable regime.
This correspondence was lost in nonintegrable, chaotic models with weak Ising interactions.
The level of spatial delocalization of eigenstates directly impacts observable dynamics.

Conclusions:

The interplay between integrability, delocalization, and dynamics is sensitive to the nature of perturbations.
Chaotic models exhibit different dynamical behaviors compared to their integrable counterparts.
Spatial delocalization plays a key role in determining the time evolution of quantum spin chains.